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Finding the Fourth Proportional to 12,380.76, 17,084.34 and 7,075.56

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Solution

The fourth proportional to 12,380.76, 17,084.34 and 7,075.56 is: 9,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.76 : 17,084.34 = 7,075.56 : x
  2. Step 2: Convert to fraction form
    12,380.76/17,084.34 = 7,075.56/x
  3. Step 3: Cross multiply
    12,380.76x = 17,084.34 × 7,075.56
  4. Step 4: Simplify right side
    12,380.76x = 120,881,272.73
  5. Step 5: Solve for x
    x = 120,881,272.73/12,380.76
  6. Step 6: Final answer
    x = 9,763.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.